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Finding the Fourth Proportional to 384,308.72, 577,337.88 and 278,020.52

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Solution

The fourth proportional to 384,308.72, 577,337.88 and 278,020.52 is: 417,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,308.72 : 577,337.88 = 278,020.52 : x
  2. Step 2: Convert to fraction form
    384,308.72/577,337.88 = 278,020.52/x
  3. Step 3: Cross multiply
    384,308.72x = 577,337.88 × 278,020.52
  4. Step 4: Simplify right side
    384,308.72x = 160,511,777,613.30
  5. Step 5: Solve for x
    x = 160,511,777,613.30/384,308.72
  6. Step 6: Final answer
    x = 417,663.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.